Vertaisarvioitu alkuperäisartikkeli tai data-artikkeli tieteellisessä aikakauslehdessä (A1)

Hölder continuity of omega-minimizers of functionals with generalized Orlicz growth




Julkaisun tekijät: Harjulehto Petteri, Hästö Peter, Lee Mikyoung

Kustantaja: SCUOLA NORMALE SUPERIORE

Julkaisuvuosi: 2021

Journal: Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze

Tietokannassa oleva lehden nimi: ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE

Lehden akronyymi: ANN SCUOLA NORM-SCI

Volyymi: 22

Julkaisunumero: 2

Sivujen määrä: 34

ISSN: 0391-173X

DOI: http://dx.doi.org/10.2422/2036-2145.201908_015

Rinnakkaistallenteen osoite: https://arxiv.org/abs/1906.01866


Tiivistelmä
We show local Holder continuity of quasiminimizers of functionals with non-standard (Musielak-Orlicz) growth. Compared with previous results, we cover more general minimizing functionals and need fewer assumptions. We prove Harnack's inequality and a Morrey type estimate for quasiminimizers. Combining this with Ekeland's variational principle, we obtain local Holder continuity for omega-minimizers.

Ladattava julkaisu

This is an electronic reprint of the original article.
This reprint may differ from the original in pagination and typographic detail. Please cite the original version.




Last updated on 2021-22-11 at 10:06